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10070625000 = 2335741131
BaseRepresentation
bin10010110000100000…
…11000101011101000
3221222211122202102010
421120100120223220
5131111040000000
64343144235520
7504362620512
oct113020305350
927884582363
1010070625000
1142a8672687
121b5076bba0
13c46517607
146b76a8bb2
153de1add50
hex258418ae8

10070625000 has 256 divisors, whose sum is σ = 32484291840. Its totient is φ = 2600000000.

The previous prime is 10070624987. The next prime is 10070625011. The reversal of 10070625000 is 52607001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76874935 + ... + 76875065.

It is an arithmetic number, because the mean of its divisors is an integer number (126891765).

Almost surely, 210070625000 is an apocalyptic number.

10070625000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10070625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242145920).

10070625000 is an abundant number, since it is smaller than the sum of its proper divisors (22413666840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10070625000 is an frugal number, since it uses more digits than its factorization.

10070625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 10070625000 in words is "ten billion, seventy million, six hundred twenty-five thousand".